{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook provides an example of how to generate a Pourbaix Diagram using the Materials API and pymatgen. Currently, the process is a bit involved. But we are working to simplify the usage in the near future.\n",
    "\n",
    "Author: Sai Jayaratnam"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "from pymatgen.matproj.rest import MPRester\n",
    "from pymatgen.core.ion import Ion\n",
    "from pymatgen import Element\n",
    "\n",
    "from pymatgen.phasediagram.pdmaker import PhaseDiagram\n",
    "from pymatgen.analysis.pourbaix.entry import PourbaixEntry, IonEntry\n",
    "from pymatgen.analysis.pourbaix.maker import PourbaixDiagram\n",
    "from pymatgen.analysis.pourbaix.plotter import PourbaixPlotter\n",
    "from pymatgen.entries.compatibility import MaterialsProjectCompatibility, MaterialsProjectAqueousCompatibility\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's first define a useful function for filtering duplicate entries."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def contains_entry(entry_list, entry):\n",
    "    for e in entry_list:\n",
    "        if e.entry_id == entry.entry_id or \\\n",
    "            (abs(entry.energy_per_atom \n",
    "                - e.energy_per_atom) < 1e-6 and\n",
    "                    entry.composition.reduced_formula ==\n",
    "             e.composition.reduced_formula):\n",
    "            return True"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using the Materials API, we obtain the entries for the relevant chemical system we are interested in."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#This initializes the REST adaptor. Put your own API key in.\n",
    "a = MPRester()\n",
    "\n",
    "#Entries are the basic unit for thermodynamic and other analyses in pymatgen.\n",
    "#This gets all entries belonging to the Fe-O-H system.\n",
    "entries = a.get_entries_in_chemsys(['Fe', 'O', 'H'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To construct a Pourbaix diagram, we also need the reference experimental energies for the relevant aqueous ions. This process is done manually here. We will provide a means to obtain these more easily via a programmatic interface in future."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "#Dictionary of ion:energy, where the energy is the formation energy of ions from \n",
    "#the NBS tables. (Source: NBS Thermochemical Tables; FeO4[2-]: Misawa T., Corr. Sci., 13(9), 659-676 (1973))\n",
    "ion_dict = {\"Fe[2+]\":-0.817471, \"Fe[3+]\":-0.0478, \"FeO2[2-]\":-3.06055, \"FeOH[+]\":-2.8738,\n",
    "            \"FeOH[2+]\":-2.37954, \"HFeO2[-]\":-3.91578, \"Fe(OH)2[+]\":-4.54022, \"Fe2(OH)2[4+]\":-4.84285,\n",
    "            \"FeO2[-]\":-3.81653, \"FeO4[2-]\":-3.33946, \"Fe(OH)3(aq)\":-6.83418, \"Fe(OH)2[+]\":-4.54022}\n",
    "\n",
    "#Dictionary of reference state:experimental formation energy (from O. Kubaschewski) for reference state.\n",
    "ref_dict = {\"Fe2O3\": -7.685050670886141}\n",
    "ref_state = \"Fe2O3\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We will now construct the Pourbaix diagram, which requires the application of the AqueousCorrection, obtaining the stable entries, followed by generating a list of Pourbaix entries."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# Run aqueouscorrection on the entries\n",
    "\n",
    "aqcompat = MaterialsProjectAqueousCompatibility()\n",
    "\n",
    "entries_aqcorr = list()\n",
    "\n",
    "for entry in entries:\n",
    "    aq_corrected_entry = aqcompat.process_entry(entry)\n",
    "    if not contains_entry(entries_aqcorr, aq_corrected_entry):\n",
    "        entries_aqcorr.append(aq_corrected_entry)\n",
    "\n",
    "# Generate a phase diagram to consider only solid entries stable in water. \n",
    "pd = PhaseDiagram(entries_aqcorr)\n",
    "stable_solids = pd.stable_entries\n",
    "stable_solids_minus_h2o = [entry for entry in stable_solids if \n",
    "                           entry.composition.reduced_formula not in [\"H2\", \"O2\", \"H2O\", \"H2O2\"]]\n",
    "pbx_solid_entries = []\n",
    "for entry in stable_solids_minus_h2o:\n",
    "    pbx_entry = PourbaixEntry(entry)\n",
    "    pbx_entry.g0_replace(pd.get_form_energy(entry))\n",
    "    pbx_entry.reduced_entry()\n",
    "    pbx_solid_entries.append(pbx_entry)\n",
    "\n",
    "# Calculate DFT reference energy for ions (See Persson et al, PRB (2012))\n",
    "ref_entry = [entry for entry in stable_solids_minus_h2o if entry.composition.reduced_formula == ref_state][0]\n",
    "ion_correction = pd.get_form_energy(ref_entry)/ref_entry.composition.get_reduced_composition_and_factor()[1] - ref_dict[ref_state]\n",
    " \n",
    "el = Element(\"Fe\")\n",
    "pbx_ion_entries = []\n",
    "# Get PourbaixEntry corresponding to each ion\n",
    "for key in ion_dict:\n",
    "    comp = Ion.from_formula(key)\n",
    "    factor = comp.composition[el] / (ref_entry.composition[el] / ref_entry.composition.get_reduced_composition_and_factor()[1])\n",
    "    energy = ion_dict[key] + ion_correction * factor\n",
    "    pbx_entry_ion = PourbaixEntry(IonEntry(comp, energy))\n",
    "    pbx_entry_ion.name = key\n",
    "    pbx_ion_entries.append(pbx_entry_ion)\n",
    "\n",
    "all_entries = pbx_solid_entries + pbx_ion_entries"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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piZ07d2LKlCkdfg9ROqwxKSgowCeffIJ///vfyM7ORkNDQ7v1LSwsMG7cOERHR2P16tXw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\nAAD43FdffWX1jKhTp46WL1+uOnXq2PaJiIhQdHS0Ro8erW7duumbb76x/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      "text/plain": [
       "<matplotlib.figure.Figure at 0x109407fd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Generate and plot Pourbaix diagram\n",
    "pourbaix = PourbaixDiagram(all_entries)\n",
    "plotter = PourbaixPlotter(pourbaix)\n",
    "plotter.plot_pourbaix(limits=[[-2, 16],[-3, 3]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.11"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
